The prices of meats are roughly equal to the US and making 20k$/yr makes you rich here, money won't be a limiting factor when it comes to food. Avg. salary in Missisipi is 40k$/yr, and that's the lowest one.
Of course you can't eat out in the nicest places every day from that salary. This is what constitutes being poor in the US ( not being able to do that )? You can always cook at home, and it's very cheap, is the price of the food really a big weight for people in the US ( let's say the bottom 40% )?
Maybe being poor is just being poor compared to others in your area, and it's mostly a mental thing. I lived on 250usd/month and life was good. Went to the farmers market, cooked my own food, I felt spoiled by the food choices I could make. I can make amazing food from various intestines, the taste is amazing, cheap as hell, and it's the best quality protein you can get your hands on for example.